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arxiv: 1610.04810 · v2 · pith:J2DIAOX5new · submitted 2016-10-16 · 🧮 math.GT

(1,1) L-space knots

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keywords l-spaceadmitbridgeknotssurgeriesamongstbergebraid
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We characterize the (1, 1) knots in the three-sphere and lens spaces that admit non-trivial L-space surgeries. As a corollary, 1-bridge braids in these manifolds admit non- trivial L-space surgeries. We also recover a characterization of the Berge manifold amongst 1-bridge braid exteriors.

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